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<i>L</i><sup>∞</sup>-Error Estimate of Schwarz Algorithm for Noncoercive Variational Inequalities
Laboratory LANOS, Department of Mathematics, Badji Mokhtar University, Annaba, Algeria
Laboratory LAIG, Department of Mathematics, Guelma University, Guelma, Algeria
- 1 Laboratory LANOS, Department of Mathematics, Badji Mokhtar University, Annaba, Algeria
- 2 Laboratory LAIG, Department of Mathematics, Guelma University, Guelma, Algeria
Applied Mathematics·Volume 05 (2014)·Pages 572–580·Published 7 February 2014·DOI10.4236/am.2014.53054
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Abstract
The Schwarz method for a class of elliptic variational inequalities with noncoercive operator was studied in this work. The author proved the error estimate in L∞-norm for two domains with overlapping nonmatching grids using the geometrical convergence of solutions and the uniform convergence of subsolutions.
KeywordsVariational InequalitiesSchwarz MethodSubsolutions<i>L</i><sup>∞</sup>-Error Estimates
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